Set-theoretic solutions to the Yang–Baxter equation and generalized semi-braces

This paper aims to introduce a construction technique of set-theoretic solutions the Yang-Baxter equation, called strong semilattice solutions. technique, inspired by semigroups, allows one obtain new In particular, this method turns out be useful provide non-bijective finite order. It is well-known braces, skew braces and semi-braces are closely linked with Hence, we generalization algebraic structure based on